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A Spin Glass Model of Human Logic Systems

2002/11/08 by Fariel Shafee, Shafee, Fariel · 1 citation
Computer Science · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Computer and information sciences #FOS: Physical sciences #Multiagent Systems (cs.MA) #cond-mat.dis-nn #cs.MA #nlin.AO

paper · pdf · doi:10.48550/arxiv.nlin/0211013

arxiv created 2002/11/08 · arxiv updated 2009/11/30

Abstract

In this paper, we discuss different models for human logic systems and describe a game with nature. Gödel`s incompleteness theorem is taken into account to construct a model of logical networks based on axioms obtained by symmetry breaking. These classical logic networks are then coupled using rules that depend on whether two networks contain axioms or anti-axioms. The social lattice of axiom based logic networks is then placed with the environment network in a game including entropy as a cost factor. The classical logical networks are then replaced with ``preference axioms'' to the role of fuzzy logic.

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